Configuration spaces of points on the circle and hyperbolic Dehn fillings
Abstract
A purely combinatorial compactification of the configuration space of n (>4) distinct points with equal weights in the real projective line was introduced by M. Yoshida. We geometrize it so that it will be a real hyperbolic conemanifold of finite volume with dimension n3. Then, we vary weights for points. The geometrization still makes sense and yields a deformation. The effectivity of deformations arisen in this manner will be locally described in the existing deformation theory of hyperbolic structures when n3 = 2, 3.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 1998
 DOI:
 10.48550/arXiv.math/9809147
 arXiv:
 arXiv:math/9809147
 Bibcode:
 1998math......9147K
 Keywords:

 Mathematics  Geometric Topology;
 57M50;
 53C15
 EPrint:
 22 pages, to appear in Topology